We consider n die whose faces are numbered from 1 to 5. If those dice are fair, the probability that a certain sum, denoted by p, of the n dice sides to occur is defined by P(p,n,s)
Now, if we assume that all the sides of the dice have the same probability to occur which is 25/124 except the face number 3 which have a probability 24/124. We verify that the sum of probabilities is (25*4+24)/124 is equal to 1. What becomes the formula above in this case?